FYKOS Year 30 Series 1 Problem 3 — Bouncy bounce · FYKOS 30 #30.1.3
Physics · mechanics
Problem
Let's have an ideal bouncy ball (with coefficient of restitution equal to one and negligible dimensions). We throw this bouncy ball down an infinitely long staircase, where a step has height h and length l. The bounces happen without any influence from friction. Describe the relation between the maximum height reached (measured from the first step) after n−th bounce and the initial parameters.